The Mansfield School District wants to predict student enrollments for

The Mansfield School District wants to predict student enrollments for

The Mansfield School District wants to predict student enrollments for next year. It hires Daniel Mazmanian Educational Consultants to do this work. Using data from 1992 through 2014 (1992 = year 1), the consultants assume that all past trends will continue and use a time series regression to predict the total number of students enrolled (Y). They get the following:
Y = 781 + 28.8X
sb = .68 Sy|x = 6.2 N = 23 r2 = .9955 = 10 sx = 6
Interpret the slope, intercept, and r2. Is there a relationship between time and enrollments?